Does weight lifting really allow you to eat more cals?

I've read several other people say this but I don't know how much truth there is to it?

Going by the In Place of a Road Map thread, my TDEE at sedentary (I sit all day, my day is not very active at all! And I log my exercise separately)is 1565 calories which with a 20% deficit allows me 1252 calories a day for weight loss, or 1409 calories with a 10% deficit.
I've been eating in this range for 7 months now and am getting fed up having to eat so much less than everyone around me! And I see lots of people saying that they can lose on higher calories since they started lifting, so is that really possible?
(I'm lifting weights regardless, since I want to lower my BF%, but this would be a nice bonus!)